Question 1

What do you call a relation where each element in the domain is related to only one value in the range by some rules?

Accepted Answer

Function

Answer

Independent

Answer

Domain

Answer

Range

Question 2

Which of the following relations is/are function/s?

Accepted Answer

$g=\left\{\left(3,2\right)\left(2,1\right)\left(8,\ 2\right)\left(5,7\right)\right\}$

Answer

$g=\left\{\left(3,2\right)\left(2,1\right)\left(8,\ 2\right)\left(5,7\right)\right\}$

Answer

$g=\left\{\left(3,2\right)\left(2,1\right)\left(8,\ 2\right)\left(5,7\right)\right\}$

Answer

$g=\left\{\left(3,2\right)\left(2,1\right)\left(8,\ 2\right)\left(5,7\right)\right\}$

Question 3

In relation, what do you call the set of x values or the input?

Accepted Answer

Domain

Answer

Range

Answer

Piecewise

Answer

Dependent

Question 4

Which of the following real-life relationships represent a function?

Accepted Answer

The rule assigns each cellular phone unit to its phone number.

Answer

The rule assigns to each person the name of his pet.

Answer

The rule assigns to each person the name of his father.

Answer

The rule assigns to each person the name of his aunt.

Question 5

Which of the following relations is NOT a function?

Accepted Answer

The rule which assigns tourist spots to each province

Answer

The rule assigns a President to each country.

Answer

The rule assigns a capital city to each province.

Answer

The rule which assigns religion to each person

Question 6

A person is earning ₱500.00 per day for doing a certain job. Which of the following expresses the total salary S as a function of the number n of days that the person works?

Accepted Answer

(𝑛) = 500𝑛

Answer

(𝑛) = 500 + 𝑛

Answer

𝑆(𝑛) = 500 – n

Answer

𝑛) = 500/𝑛

Question 7

For numbers 8 - 9 use the problem below.

Johnny was paid a fixed rate of ₱ 100a day for working in a Computer Shop and an additional ₱5.00for for every typing job he made.

How much would he pay for a 5 typing job he made for a day?

Accepted Answer

₱125.00

Answer

₱170.00

Answer

₱175.50

Answer

₱55.00

Question 8

Johnny was paid a fixed rate of ₱ 100a day for working in a Computer Shop and an additional ₱5.00for for every typing job he made.

Find the fare function f(x) where x represents the number of typing jobs he made for the day.

Accepted Answer

(𝑥) = 100 + 5𝑥

Answer

(𝑥) = 100𝑥

Answer

(𝑥) = 100 − 5𝑥

Answer

𝑓(𝑥)=100/5x

Question 9

Which of the following is not true about function?

Accepted Answer

One-to-many correspondence is a function

Answer

Many-to-one correspondence is a function.

Answer

One-to-one correspondence is a function

Answer

A function is composed of two quantities where one depends on the other.

Question 10

In relation, what do you call the y values or the output?

Accepted Answer

Range

Answer

Domain

Answer

Piecewise

Answer

Independent

Question 11

Which of the following relations is/are function/s?

Accepted Answer

the rule which assigns the name of teachers you have

Answer

the rule which assigns a pen and the color of its ink

Answer

the rule which assigns to each person the name of his brother

Answer

the rule which assigns each persona surname

Question 12

Find the function value given h(x) = 7x −11, if x = 8m + 3.

Accepted Answer

56m +10

Answer

56m²– 10

Answer

56m −10

Answer

56m2 +10

Question 13

Which of the following is the value of the function f(x) =/3x²-15x + 5/+ 3 given

x = 3?

Accepted Answer

16

Answer

25

Answer

19

Answer

10

Question 14

Evaluate $h\left(x\right)=5x^2-8x+12\ given\ x+5$

Accepted Answer

22

Answer

97

Answer

-3

Answer

145

Question 15

Given $h\left(x\right)=5x^2-8x+12\ given\ x+5$ determine $h\left(5\right)$ .

Accepted Answer

15

Answer

$g=\left\{\left(3,2\right)\left(2,1\right)\left(8,\ 2\right)\left(5,7\right)\right\}$

Answer

-15

Answer

$g=\left\{\left(3,2\right)\left(2,1\right)\left(8,\ 2\right)\left(5,7\right)\right\}$

Question 16

For what values of x can we not evaluate the function $h\left(x\right)=5x^2-8x+12\ given\ x+5$

Accepted Answer

$g=\left\{\left(3,2\right)\left(2,1\right)\left(8,\ 2\right)\left(5,7\right)\right\}$

Answer

$g=\left\{\left(3,2\right)\left(2,1\right)\left(8,\ 2\right)\left(5,7\right)\right\}$

Answer

$g=\left\{\left(3,2\right)\left(2,1\right)\left(8,\ 2\right)\left(5,7\right)\right\}$

Answer

$g=\left\{\left(3,2\right)\left(2,1\right)\left(8,\ 2\right)\left(5,7\right)\right\}$

Question 17

The statement "(𝑥) − (𝑥) is the same as (𝑥) − 𝑝(𝑥)", 𝑝(𝑥) ≠ 𝑞(𝑥) is _____.

Accepted Answer

Sometimes true

Answer

Invalid

Answer

Always true

Answer

Never true

Question 18

Given: (𝑎) = 2𝑎 + 1 and (𝑎) = 3𝑎 − 3. Find (𝑎) + (𝑎)

Accepted Answer

−2𝑎 + 1

Answer

5𝑎 − 2

Answer

−5𝑎 + 2

Answer

−6𝑎 – 1

Question 19

$g=\left\{\left(3,2\right)\left(2,1\right)\left(8,\ 2\right)\left(5,7\right)\right\}$ and $\left(x\right)=5x^2-x-1$ , Find $\left(f-g\right)\left(x\right)$

Accepted Answer

$g=\left\{\left(3,2\right)\left(2,1\right)\left(8,\ 2\right)\left(5,7\right)\right\}$

Answer

$g=\left\{\left(3,2\right)\left(2,1\right)\left(8,\ 2\right)\left(5,7\right)\right\}$

Answer

$g=\left\{\left(3,2\right)\left(2,1\right)\left(8,\ 2\right)\left(5,7\right)\right\}$

Answer

$g=\left\{\left(3,2\right)\left(2,1\right)\left(8,\ 2\right)\left(5,7\right)\right\}$

Question 20

if $h\left(x\right)=5x^2-8x+12\ given\ x+5$ and $h\left(5\right)$ , what is $p\left(x\right)\cdot\left(x\right)$ ?

Accepted Answer

$g=\left\{\left(3,2\right)\left(2,1\right)\left(8,\ 2\right)\left(5,7\right)\right\}$

Answer

$g=\left\{\left(3,2\right)\left(2,1\right)\left(8,\ 2\right)\left(5,7\right)\right\}$

Answer

$g=\left\{\left(3,2\right)\left(2,1\right)\left(8,\ 2\right)\left(5,7\right)\right\}$

Answer

$g=\left\{\left(3,2\right)\left(2,1\right)\left(8,\ 2\right)\left(5,7\right)\right\}$

Question 21

Given $h\left(x\right)=5x^2-8x+12\ given\ x+5$ and $h\left(5\right)$ . Find $p\left(x\right)\cdot\left(x\right)$

Accepted Answer

$g=\left\{\left(3,2\right)\left(2,1\right)\left(8,\ 2\right)\left(5,7\right)\right\}$

Answer

$g=\left\{\left(3,2\right)\left(2,1\right)\left(8,\ 2\right)\left(5,7\right)\right\}$

Answer

$g=\left\{\left(3,2\right)\left(2,1\right)\left(8,\ 2\right)\left(5,7\right)\right\}$

Answer

$g=\left\{\left(3,2\right)\left(2,1\right)\left(8,\ 2\right)\left(5,7\right)\right\}$

Question 22

if $h\left(x\right)=5x^2-8x+12\ given\ x+5$ and $h\left(5\right)$ . Find $p\left(x\right)\cdot\left(x\right)$

Accepted Answer

$g=\left\{\left(3,2\right)\left(2,1\right)\left(8,\ 2\right)\left(5,7\right)\right\}$

Answer

4

Answer

$g=\left\{\left(3,2\right)\left(2,1\right)\left(8,\ 2\right)\left(5,7\right)\right\}$

Answer

16

Question 23

The following are notations for composite functions EXCEPT,

Accepted Answer

$g=\left\{\left(3,2\right)\left(2,1\right)\left(8,\ 2\right)\left(5,7\right)\right\}$

Answer

ℎ(𝑝(𝑥))

Answer

𝑓(𝑥)𝑔(𝑥)

Answer

𝑓(𝑔(𝑥))

Question 24

Find $h\left(x\right)=5x^2-8x+12\ given\ x+5$ if $h\left(5\right)$ and $p\left(x\right)\cdot\left(x\right)$

Accepted Answer

2

Answer

19

Answer

14

Answer

5

Question 25

Given: $h\left(x\right)=5x^2-8x+12\ given\ x+5$ and $h\left(5\right)$ . Find $p\left(x\right)\cdot\left(x\right)$ .

Accepted Answer

3x+2

Answer

2x+3

Answer

2x-3

Answer

4x+1

Question 26

If the temperature in degrees Celsius inside the Earth is represented by T(d) = 10d +20 where (d) is the depth in kilometers, what is the temperature inside the earth in 10 kilometers?

Accepted Answer

50℃

Answer

120℃

Answer

40℃

Answer

180℃

Question 27

Which of the following expressions is an equality between two expressions containing one or more variables?

Accepted Answer

rational function

Answer

rational equation

Answer

irrational expression

Answer

rational inequality

Question 28

What do you call a root obtained in the process of solving an equation which looks correct but after analyzing it turns out as incorrect?

Accepted Answer

extraneous solution

Answer

least common denominator

Answer

quotient

Answer

rational expression

Question 29

Below are the steps in solving rational inequality EXCEPT

Accepted Answer

Plot the critical values on a number line, breaking the number line into

Answer

Determine if the endpoints of the intervals in the solution should being included in the intervals.

Answer

Set the numerator and denominator equal to one and solve.

Answer

Put the inequality in a general form.

Question 30

. In the equation: $h\left(x\right)=5x^2-8x+12\ given\ x+5$ what symbol must be replaced with 5 to make the equation a rational function?

Accepted Answer

y

Answer

5x

Answer

$g=\left\{\left(3,2\right)\left(2,1\right)\left(8,\ 2\right)\left(5,7\right)\right\}$

Answer

$g=\left\{\left(3,2\right)\left(2,1\right)\left(8,\ 2\right)\left(5,7\right)\right\}$

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